Answer
$5$
Work Step by Step
Recall the quotient property of logarithms (pg. 462):
$\log_b{\frac{m}{n}}=\log_b{m}-\log_b{n}$
We apply this property to the given equation:
$\log_2{96}-\log_2{3}\\
=\log_2{\frac{96}{3}}\\
=\log_2{32}$
Next, recall the power property of logarithms (pg. 462):
$\log_b{m^n}=n\log_b{m}$
We apply this property to our last expression:
$\log_2{32}\\
=\log_2{2^5}\\
=5\log_2{2}\\
=5\times 1\\
=5$
We also used the fact that $\log_{2}{2}=1$ (because $2^1=2$).